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Finding the Third Proportional to 1,407,015 and 2,863,712.25

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Solution

The third proportional to 1,407,015 and 2,863,712.25 is: 5,828,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,015 : 2,863,712.25 = 2,863,712.25 : x
  2. Step 2: Convert to fraction form
    1,407,015/2,863,712.25 = 2,863,712.25/x
  3. Step 3: Cross multiply
    1,407,015x = 2,863,712.25 × 2,863,712.25
  4. Step 4: Simplify right side
    1,407,015x = 8,200,847,850,800.06
  5. Step 5: Solve for x
    x = 8,200,847,850,800.06/1,407,015
  6. Step 6: Final answer
    x = 5,828,543.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.